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Finding the Fourth Proportional to 13,702.80, 18,909.56 and 7,734.32

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Solution

The fourth proportional to 13,702.80, 18,909.56 and 7,734.32 is: 10,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.80 : 18,909.56 = 7,734.32 : x
  2. Step 2: Convert to fraction form
    13,702.80/18,909.56 = 7,734.32/x
  3. Step 3: Cross multiply
    13,702.80x = 18,909.56 × 7,734.32
  4. Step 4: Simplify right side
    13,702.80x = 146,252,588.10
  5. Step 5: Solve for x
    x = 146,252,588.10/13,702.80
  6. Step 6: Final answer
    x = 10,673.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.